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A Mathematical Model for Curriculum Learning for Parities

ICML 2023 · Optimization › Optimizers · approach: Natural gradient and Fisher approximations · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a two-step curriculum, beginning with a biased distribution and switching to the uniform distribution2-layer ReLU network learning a 20-parity over 100 bits · 20-parity over 100 bitsconvergence time: 16,000 epochs; no curriculum does not achieve non-trivial correlation in 25,000 epochsHelped
Use a continuous curriculum instead of a sharp two-step switch2-layer ReLU network learning a 20-parity over 100 bits · 20-parity over 100 bitstest error under the uniform distributionMixed
Vary the initial bias in a two-step curriculum (ablation)2-layer ReLU network learning a 10-parity over 100 bits · 10-parity over 100 bitsconvergence time: p1 = 0.001, 0.05,0.1,0.15,...,0.95,0.999; 100,000Mixed
Use a bounded-step curriculum for Hamming mixturesNoisy gradient descent on fully connected networks · Hamming mixturescorrelation with target under the uniform distribution: o_d(1)Hurt
Use a two-step curriculum with an initial bias near 1/2 (ablation)2-layer ReLU network learning a 10-parity over 100 bits · 10-parity over 100 bitsconvergence time: 100,000Hurt

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